PLEASE HELP ME ASAP!!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS1. When writing a linear equation for a word problem, what are some things to keep in mind or some keywords to watch out for? What do those keywords mean/ why should you watch out for those things?

Answer:

Please find attached the required graph for the temperature time relationship

Step-by-step explanation:

The parameters given are arranged in a tabular form as follows;

At

Time  [tex]{}[/tex]                                          Temperature

6 a. m.        [tex]{}[/tex]                                    56° F

7 a. m.          [tex]{}[/tex]                                   59° F

8 a. m.             [tex]{}[/tex]                                62° F

9 a. m.             [tex]{}[/tex]                                66° F

10 a. m.            [tex]{}[/tex]                               70° F

11 a. m.                  [tex]{}[/tex]                          74° F

12 p. m.              [tex]{}[/tex]                             74°F

1 p. m.                     [tex]{}[/tex]                        74°F

2 p. m.                  [tex]{}[/tex]                          74°F

3 p. m.                   [tex]{}[/tex]                         74°F

4 p. m.                   [tex]{}[/tex]                         74°F

5 p. m.                  [tex]{}[/tex]                          74°F

6 p. m.                 [tex]{}[/tex]                           74°F

7 p. m.                       [tex]{}[/tex]                     71°F

8 p. m.                      [tex]{}[/tex]                      68°F

9 p. m.                          [tex]{}[/tex]                  65°F

10 p. m.                  [tex]{}[/tex]                         62°F

11 p. m.                        [tex]{}[/tex]                    61.5°F

12 a. m.                        [tex]{}[/tex]                    61°F

With the above table as the data points, the graph can be drawn

From Excel, The Mean temperature is approximately 68.1°F

The standard deviation is 6.079 °F

Since Dylan noted the time of day and the temperature, in degrees Fahrenheit, and his findings are as follows: At 6 am, the temperature was 56 ° F, for the next 2 hours, the temperature rose 3 ° per hour, for the next 3 hours, it rose 4º per hour, and the temperature then stayed steady until 6 pm, while for the next 4 hours, the temperature dropped 3 ° per hour, and the temperature then dropped steadily until the temperature was 61 ° at midnight , to determine the average temperatures, the following tables must be made:

6 AM = 56

7 AM = 59

8 AM = 62

9 AM = 66

10 AM = 70

11 AM = 74

6 PM = 74

7 PM = 71

8 PM = 68

9 PM = 65

10 PM = 62

11 PM = 61.5

12 AM = 61

Thus, the average daily temperature was 68°F.

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Answer:

x ≥ −5 and x < 4

Step-by-step explanation:

-4x + 1 ≤ 21 and 5x + 2 <  22

5x + 2 < 22 = x < 4

We can plug it in: 5 x 3 + 2 < 22 = 17 < 22

-4x + 1 ≤ 21 = x= -5 and lower

Plug it in: -4 x -5 + 1 ≤ 21 = 21 ≤ 21 = x ≥−5

So both answers would be:

x ≥−5 for -4x + 1 ≥ 21

x < 4 for 5x + 2 <  22

Answer:

The answer is below

Step-by-step explanation:

The compound interest is given by the formula:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\Where\ A \ is\ the\ final \ amount, P\ is\ the \ principal\ or \ initial\ amount,r\ is\ the\ rate\\n\ is\ the\ number\ of \ times\ compounded\ per\ period\ and \ t\ is\ the\ number\ of\ periods.\\[/tex]

For the same amount of principal (P) for both plan A and B:

Plan A offers a  quarterly compounded interest rate of 0.15%. That is r = 0.15% = 0.0015, n = 4. Therefore:

[tex]A_a=P(1+\frac{0.0015}{4} )^{4t}\\\\A_a=P(1+0.000375)^{4t}\\\\A_a=P(1.000375)^{4t}[/tex]

Plan B offers  annual compounded interest rate of 0.5%. That is r = 0.5% = 0.005, n = 1. Therefore:

[tex]A_b=P(1+\frac{0.005}{1} )^{t}\\\\A_b=P(1.005)^{t}\\\\The\ ratio\ of\ their\ interest:\\\\\frac{A_a}{A_b} =\frac{P(1.000375)^{4t}}{P(1.005)^{t}} \\\\\frac{A_a}{A_b} =\frac{(1.000375)^{4t}}{(1.005)^{t}} \\\\For\ the\ same\ time\ period\ of\ one\ year(t)=1\\\\\frac{A_a}{A_b} =\frac{(1.000375)^{4(1)}}{(1.005)^{1}} \\\\\frac{A_a}{A_b} =\frac{1.0015}{1.005} \\\\A_b=\frac{1.005A_a}{1.0015}\\ \\A_b=1.003A_b[/tex]

Plan B is the better plan, it is greater by a factor of 1.003

Answer:

There is 160.81 % of increase.

Step-by-step explanation:

Given that,

The average size of a privately owned farm in a particular country was 171 acres.

Now, the average size of a privately owned farm in the country had increased to 446 acres.

We need to find the percent increase.

[tex]\%=\dfrac{\text{increase}}{\text{original}}\times 100\\\\\%=\dfrac{446-171}{171}\times 100\\\\\%=160.81\%[/tex]

So, there is 160.81 % of increase.

Answer:

-4 < x < -2

Step-by-step explanation:

8 > 4 - x > 6

4 > -x > 2

-4 < x < -2 (flip the sign when multiplying / dividing by a negative number)

Answer:

7=-4(x+7)-3+2x

BODMAS

7=-4x-28-3+2x

7=-2x-31

7+31=-2x

x=38/2

x= -19

Answer:

B. 18

Step-by-step explanation:

Base: 3-(-6)=9

Height: 6-2=4

Area =1/2bh = 1/2(9)(4)= 18 square units

3 is what my answer was

============================================

Explanation:

From 5 to 5, we add 0

From 5 to 6, we add 1

From 6 to 8, we add 2

From 8 to 11, we add 3

Assuming this pattern keeps up, the next term is found by adding 4.

So 11+4 = 15 is the next term.

Answer: The vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units

Step-by-step explanation:

Option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The function y = (x - 4^)2 + 3

Plot the graph on substituting the function [tex]y=x^{2}[/tex] as shown in the graph below.

On comparing the two functions, the transformation of the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units.

Thus the function y = (x - 4)^2 + 3 is a transformation of the function         y = x^2.

Hence we can conclude that option (D) the vertex of the graph of y = x^2 is shifted to the right 4 units and up 3 units is the correct answer.

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Answer:

Step-by-step explanation:

Let the consecutive even numbers be 2n , (2n + 2) , (2n +4), (2n + 6)

2n + 2n+2 + 2n+4 + 2n+6 = 180

Add like terms

2n + 2n + 2n + 2n + 2 + 4 + 6 = 180

8n + 12 = 180

Subtract 12 from both sides

8n + 12 - 12 = 180 - 12

              8n = 168

Divide both sides by 8

 8n/8 = 168/8

     n = 21

2n = 2*21 = 42

2n + 2= 2*21 +2 = 42 +2 = 44

2n +4 = 2*21 + 4 = 42 + 4 = 46

2n +6 = 2*21 + 6 = 42 + 6 = 48

The 4 consecutive even integers:  42, 44 , 46 , 48

Answer:

$80

Step-by-step explanation:

If we have four scarves, and each costs $20, we can multiply these two numbers to find the total profit made.

[tex]20\cdot4[/tex]

2 times 4 is 8, and adding a 0 to that is 80.

Hope this helped!

Answer: Hi!

We already know that we can subtract a dollar from the total, because the bat is a dollar more than the ball. However, there's one more step! We have to divide the cost left, 10 cents, by 2 as well, because the bat is a dollar more than the ball, and if we said that the answer was a dollar, we would be wrong, because there would be 10 cents left as the cost of the ball - and if the bat was a dollar more than the ball, then the bat would be $1.10 and the total cost would be $1.20. 10 divided by 2 is 5, so the ball is 5 cents and the bat is $1.05.

Hope this helps!

5 cents

as the ball costs 5 cents the bat costs $1.05

Answer:

$520

Step-by-step explanation:

Ben earns $13 per hour of regular work

He gets for 40 hours of regular work:

Answer is $520

Answer:

slope: (y² - y¹) / (x² - x¹)

(-6, 3) (9, 7)

(7 - 3) / (9 + 6) = 4 / 15

y = 4/15x + b

slope: (4/15)x

(4, -10) (-2, -6)

(-6 + 10) / (-2 - 4) = 4 / -6 = 2 / -3

y = (-2/3)x + b

slope: (-2/3)x

Answer:

Step-by-step explanation:

Hint :

[tex](a*b)^{m}= a^{m}b^{m}\\\\\\(a^{m})^{n}=a^{mn}\\\\\\a^{m}*a^{n}=a^{m+n}\\[/tex]

[tex]1)x^{2}(2xy^{3})^{5}=x^{2}*2^{5}*x^{5}*(y^{3})^{5}\\\\\\=x^{2}*2^{5}*x^{5}*y^{3*5}\\\\=x^{2}*2^{5}*x^{5}*y^{15}\\\\=2^{5}*x^{2+5}*y^{15}\\\\=2^{5}x^{7}y^{15}[/tex]

[tex]2) (4x10^{8})^{2}=4^{2}*x^{2}*(10^{8})^{2}\\\\=16*x^{2}*10^{8*2}\\\\=1.6*10*x^{2}*10^{16}\\\\=1.6x^{2}*10^{16+1}\\\\=1.6x^{2}10^{17}[/tex]

[tex]3)(-h^{4})^{5}=(-h)^{4*5}=-h^{20}\\\\\4)(3xy^{3})^{2}(xy)^{6}=3^{2}x^{2}(y^{3})^{2}x^{6}y^{6}\\\\=9x^{2}y^{3*2}x^{6}y^{6}\\\\\\=9x^{2}y^{6}x^{6}y^{6}\\\\=9x^{2+6}y^{6+6}\\\\=9x^{8}y{12}\\\\\\[/tex]

[tex]5) (p^{9})^{-2}=p^{9*-2}=p^{-18}\\\\\\6)(5k^{2})^{3}=5^{3}(k^{2})^{3}=625k^{6}\\\\7)(7x10^{5})^{2}=7^{2}x^{2}(10^{5})^{2}\\\\=49x^{2}10^{5*2}\\\\=4.9*10^{1}x^{2}10^{10}\\\\=4.9x^{2}10^{10+1}\\\\=4.9x^{2}10^{11}[/tex]

[tex]8)x^{3}(-x^{3}y)^{2}=x^{3}*(-x^3})^{2}y^{2}\\\\\\=x^{3}*(-1)^{2}*x^{2*3}y^{2}\\\\=x^{3}*1*x^{6}y^{2}=x^{3+6}y^{2}\\\\=x^{9}y^{2}\\\\\\9)w^{5}(w^{2})^{-4}=w^{5}w^{2*-4}\\\\=w^{5}w^{-8}\\\\=w^{5-8}=w^{-3}\\\\=\frac{1}{w^{3}}\\\\\\10) (2x^{5})^{4}=2^{4}x^{5*4}\\\\=2^{4}x^{20}\\\\=16x^{20}[/tex]

Answer:

Step-by-step explanation:

we can write sin(3x+10)= cos{90-(3x+10)}

now

cosx= cos{90-(3x+10)}

eliminating cos from both sides we get

x=90-3x-10

4x=80

x=20

tan 20=0.364

it can be 40 also  if we take the sin part

Answer:

6^5 or 7776

Step-by-step explanation:

6^5 because 6 is multiplied with 6, 5 times. So, it is 6^5.

We can also simplify this number.

=> 6 x 6 x 6 x 6 x 6

=> 36 x 36 x 6

=> 36 x 216

=> 7776

Answer:

The correct options are;

Lines l and n are perpendicular

Lines m and n are perpendicular

Step-by-step explanation:

Where two lines l an m are said to be perpendicular to a given line n, then we have;

1) When  l and m are in different planes,

a) l and m can be parallel lines to each other or

b) l and m can be perpendicular to each other or

c) l and m can be at an angle x, to each other

2) When l and m intersect with the line n at a point p, then, we have;

l and m must be in the same plane with each other.

Answer:

the answer = C (may be but not sure)

Answer:

The answer has to be A

Step-by-step explanation:

The trees have nothing changed about them, so they can be considered to be the control. In additon, placebo is given as a control in medical trials, so it cannot be correct. And, the students have nothing changed in D, so the answer to this question has to be A, where the patients are given a new drug.

Step-by-step explanation:

Given

a = 1

b = -3

c = -1

d = 4

Everything is given to us ,we have to replace variable by numbers and solve the equation

put the values of variables in th given equation we get our answer

[tex]2( - 1)(4) + 3(2)( - 3)[/tex]

[tex] - 8 - 18[/tex]

[tex] - 26[/tex]

-26 is ur answer

Hope it helps u mate

If a =2, b = -3 and c = -1 and d =4. 2cd+3ab is - 26.

As name suggests variables can have different values.We put a certain values to a variable according to our desired results also can be thought as inputs that determines output.

According to the given question we have to evaluate an expression with variables and the values of the variables are given so we will just substitute their values and obtain our result.

Given  a =2, b = -3 and c = -1 and d =4.

∴ 2cd+3ab

= 2(-1)(4) + 3(2)(-3)

= 2(-4) + 6(-3)

= - 8 - 18

= - 26.

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Answer/Step-by-step explanation:

Using α as reference angle:

Perpendicular side = BC (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)

Base side = AB (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)

Hypotenuse = AC (the side opposite to the right angle, 90°)

Using β as reference angle:

Perpendicular side = AB (one of the legs that adjoins to form a right angle. It is opposite to the reference angle.)

Base side = BD (The other leg that forms a right angle with the perpendicular side at the adjoining point. It is adjacent to the reference angle)

Hypotenuse = AD (the side opposite to the right angle, 90°)

Answer:

[tex]N = \{1,2,3,4,5,6,.....\}[/tex]

Step-by-step explanation:

Required

Determine the sets of natural number

Represent this set with letter N

From definition of natural numbers, they are integer numbers starting from 1;

In other words: 1,2,3,4,5, and so on.

To represent this as a set of N, we have

[tex]N = \{1,2,3,4,5,6,.....\}[/tex]

The ..... means that the counting still continues

Answer:

See below

Step-by-step explanation:

[tex]830040 \\ = (8 \times 100000) + (3 \times 10000) + (4 \times 10) \\ = 8 \times {10}^{5} + 3 \times {10}^{4} + 4 \times {10}^{1} \\ [/tex]

Answer:

33.05°

Step-by-step explanation:

The diagram above is a right angled triangle.

To solve for this question, we would be making use of the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse

From the above diagram,

Opposite side = 162.5 yards

Hypotenuse = 298 yards

θ = unknown

sin θ = 162.5 yards/298 yards

sin θ = 0.5453020134

θ = arc sin(0.5453020134)

θ = 33.045304587°

Approximately

θ = 33.05°

Answer:

-2

Step-by-step explanation:

f(2) is the value of the function when x = 2.

Look in the graph. When x = 2, the point on the graph has coordinates (2, -2).

f(2) = -2

Answer:

-3 feets

Step-by-step explanation:

Given the following :

Starting point = 224 feets

Then descends 131 feets

Then climbs 67 feets higher than her current position

Then descends 163 feets

Addition sentence to describe the situation :

224feets + (-131)feets + 67feets + (-163)feets

Negative (-) points represents descent

224feets - 131feets + 67feets - 163feets = - 3feets

This means Sally is - 3 feets below her initial position.

(ignore this answer, i cant delete it srry..)

Answer:

It takes them 45 minutes

Step-by-step explanation:

Let's say that x is the amount of work in one hour that zina does

so the amount of work that rachel does in the same hour is 1/3x, because 3 times slower

so we have

x+1/3x=100%

what does that mean?

it means the amount of hours taken to complete a skycraper

so we solve for x

x=75%

so we need to figure out how much hours does zina takes to complete 75% of the skycraper

1 hour ----- 100%

x hours ---- 75%

1 hour *75%/100%=x hours

1 hour (3/4)=x hours

60 minutes (3/4)= x minutes

x=45 minutes

Answer: C) 6

================================================

Explanation:

2.33333... where the 3s go on forever is the same as 2 + 1/3 or 2 & 1/3

So we really have 3 & 2/3 added onto 2 & 1/3

The fractional portions add to 2/3 + 1/3 = 3/3 = 1, which will carry over.

The whole number portions add to 3+2 = 5, and we add on the carry of 1 to get 5+1 = 6

--------------

Using your calculator

3 & 2/3 = 3 + 2/3 = 3 + 0.667 = 3.667 approximately

adding this onto 2.333 leads to

3.667 + 2.333 = 6

Technically the 6's go on forever in the decimal form of 3 & 2/3, but rounding wont have an effect on the answer when we add

The sum of the given fraction is 6. Therefore, option C is the correct answer.

Given that, 3 2/3 + 2.3333....

We need to find the sum of the given fractions.

To add fractions follow these steps:

Step 1: Make sure the bottom numbers (the denominators) are the same.

Step 2: Add the top numbers (the numerators), and put that answer over the denominator.

Step 3: Simplify the fraction (if possible).

Now, 2.3333.... can be written as

x=2.333.... ------(1)

10x=23.333.... ------(2)(Multiply by 10 to both sides of the equation)

Subtract equation (1) from (2)

That is, 10x-x=23.333.....-2.333......

⇒9x=21

⇒x=21/9

⇒x=7/3

⇒x=2 1/3

Now, 3 2/3 + 2 1/3

=(3+2) 2/3 + 1/3

=5 3/3

=5+1=6

The sum of the given fraction is 6. Therefore, option C is the correct answer.

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Answer:

Step-by-step explanation:

f(x) = - x² - 6x + 12

To find f(4) substitute the value of x that's 4 into the expression above and solve.

That's

f( 4) = - (4)² - 6(4) + 12

= - 16 - 24 + 12

= - 40 + 12

We have the final answer as

Hope this helps you

Answer:

C = 50.27 m

Step-by-step explanation:

A = πr²

64π = πr²

64 = r²

r = ±8

r = 8

C = 2πr

C = 2π(8)

C = 50.27 m